The effect of pressure on chemical interactions in molecular mixtures is important for problems spanning fundamental chemistry, planetary science, and materials science. Diamond-anvil cell studies reveal pressure-induced chemistry in the CH
4
-H
2
system. The system, which has no known compounds at ambient conditions, formed four molecular compounds, CH
4
(H
2
)
2
, (CH
4
)
2
H
2
, CH
4
(H
2
)
4
, and CH
4
H
2
, at pressures up to 10 gigapascals. These have been characterized by synchrotron single-crystal x-ray diffraction, polycrystalline x-ray diffraction, Raman spectroscopy, and visual observation. Although CH
4
(H
2
)
2
crystallizes in the MgZn
2
-type, hexagonal Laves phase structure, (CH
4
)H
2
has a body-centered tetragonal structure that is similar to that of Al
2
Cu. The 1:1 and 1:2 compounds are stable to at least 30 gigapascals.